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An Exactly Force-Balanced Boundary-Conforming Arbitrary-Lagrangian-Eulerian Method for Interfacial Dynamics

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cam.issuedOnline2020-01-21
cam.orpheus.successThu Jan 30 10:32:51 GMT 2020 - Embargo updated
dc.contributor.authorLi, Jie
dc.contributor.authorCheng, zekang
dc.contributor.authorLoh, Ching Y
dc.contributor.authorLuo, Li-Shi
dc.date.accessioned2020-01-28T00:31:22Z
dc.date.available2020-01-28T00:31:22Z
dc.date.issued2020-05-01
dc.description.abstractWe present an interface conforming method for simulating two-dimensional and axisymmetric multiphase flows. In the proposed method, the interface is composed of straight segments which are part of mesh and move with the flow. This interface representation is an integral part of an Arbitrary Lagrangian-Eulerian (ALE) method on an moving adaptive unstructured mesh. Our principal aim is to develop an accurate and robust computational method for interfacial flows driven by strong surface tension and with weak viscous dissipation. We first construct a discrete solutions satisfying the Laplace law on a circular/spherical interfaces exactly, i.e., the balance between the surface tension and the pressure jump across an interface is achieved exactly. The accuracy and stability of these solutions are then investigated for a wide range of Ohnesorge numbers, $\Oh$. The dimensionless amplitude of the spurious current is reduced to machine zero, i.e., on the order of $10^{-15}$ for $\Oh \ge 10^{-3}$. Finally, the accuracy and capability of the proposed method are demonstrated through a series of benchmark tests with larger interface deformations. In particular, the method is validated with Prosperitti's analytic results of the bubble/drop oscillations and Peregrine's dripping faucet experiment, in which the values of $\Oh$ are small.
dc.description.sponsorshipA Scholarship from China Scholarship Council and the Chinese NSAF grant U1530401.
dc.identifier.doi10.17863/CAM.48393
dc.identifier.eissn1090-2716
dc.identifier.issn0021-9991
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/301312
dc.language.isoeng
dc.publisherElsevier
dc.publisher.urlhttp://dx.doi.org/10.1016/j.jcp.2020.109237
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectBoundary conforming method
dc.subjectALE
dc.subjectAdaptive moving mesh
dc.subjectFluid-fluid interface
dc.subjectMultiphase flows
dc.subjectSpurious current
dc.titleAn Exactly Force-Balanced Boundary-Conforming Arbitrary-Lagrangian-Eulerian Method for Interfacial Dynamics
dc.typeArticle
dcterms.dateAccepted2020-01-02
prism.publicationDate2020
prism.publicationNameJournal of Computational Physics
rioxxterms.licenseref.startdate2020-05-01
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review
rioxxterms.versionAM
rioxxterms.versionofrecord10.1016/j.jcp.2020.109237

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